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    The Elliptic Polarity of Screws

    Source: Journal of Mechanical Design:;1985:;volume( 107 ):;issue: 003::page 377
    Author:
    H. Lipkin
    ,
    J. Duffy
    DOI: 10.1115/1.3260725
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The nature and invariant properties of the elliptic polarity of screws in Euclidean space is established using a novel series of mappings, central to which is a quaternion representation. The role of the elliptic polarity in modeling constrained motion is detailed and illustrated by way of an example which has application in the control of robot manipulators. Ball’s planar representation of the two system of screws is generalized and is shown to be a representation on a complex plane where the elliptic polarity is a conformal mapping.
    keyword(s): Screws , Modeling , Manipulators AND Motion ,
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      The Elliptic Polarity of Screws

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    contributor authorH. Lipkin
    contributor authorJ. Duffy
    date accessioned2017-05-08T23:20:48Z
    date available2017-05-08T23:20:48Z
    date copyrightSeptember, 1985
    date issued1985
    identifier issn1050-0472
    identifier otherJMDEDB-28055#377_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/100178
    description abstractThe nature and invariant properties of the elliptic polarity of screws in Euclidean space is established using a novel series of mappings, central to which is a quaternion representation. The role of the elliptic polarity in modeling constrained motion is detailed and illustrated by way of an example which has application in the control of robot manipulators. Ball’s planar representation of the two system of screws is generalized and is shown to be a representation on a complex plane where the elliptic polarity is a conformal mapping.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleThe Elliptic Polarity of Screws
    typeJournal Paper
    journal volume107
    journal issue3
    journal titleJournal of Mechanical Design
    identifier doi10.1115/1.3260725
    journal fristpage377
    journal lastpage386
    identifier eissn1528-9001
    keywordsScrews
    keywordsModeling
    keywordsManipulators AND Motion
    treeJournal of Mechanical Design:;1985:;volume( 107 ):;issue: 003
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
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